Tomography of the spatial structure of light
- URL: http://arxiv.org/abs/2404.05616v2
- Date: Wed, 06 Nov 2024 20:23:51 GMT
- Title: Tomography of the spatial structure of light
- Authors: M. Gil de Oliveira, A. L. S. Santos Junior, P. M. R. Lima, A. C. Barbosa, B. Pinheiro da Silva, S. Padua, A. Z. Khoury,
- Abstract summary: We consider a spatially structured light mode that is specified by coefficients with respect to some basis, such as the Laguerre-Gaussian or Hermite-Gaussian modes.
We explore a mathematical analogy between this problem and quantum state tomography, which allows us to readily utilize many techniques of this well established field.
The work here presented is expected to help the development of characterization techniques in the field of structured light and in its application for both classical and quantum information protocols.
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- Abstract: In this work we study, both theoretically and experimentally, the tomography of the spatial structure of light. We consider a a spatially structured light mode that is specified by coefficients with respect to some basis, such as the Laguerre-Gaussian or Hermite-Gaussian modes. Our aim is to retrieve these coefficients given only spatially resolved intensity measurements. We explore a mathematical analogy between this problem and quantum state tomography, which allows us to readily utilize many techniques of this well established field. In order to demonstrate the robustness of our approach, we apply it to several different experimental scenarios: intense light beams in a variety of basis, the photocount regime, and beams obstructed by obstacles. The method is also extremely fast, being able to perform the tomography of a 6-dimensional state at around 50$\mu$s. The work here presented is expected to help the development of characterization techniques in the field of structured light and in its application for both classical and quantum information protocols.
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